Statistical convergence and statistical core of double sequences

This thesis consists of six chapters. First chapter is devoted the introduction part. In chapter two, we give the basic definitions and preliminary results. In chapter three, we introduce the concept of statistical convergence of double sequences and analyzed some features of this concept. In chapter four, the concept of core of double sequences is given. In chapter five, the concepts of statistically boundedness of double sequences and statisticaly core of double sequences are given and some features of statisticaly core of double sequences are analyzed. In chapter six which is the original part of the study, we give the statistical limit points and statistical core of double sequences of order (alpha,beta).